Adaptive mesh films
Keller-Segel system (radially symmetric)
saturation of the mesh near blow-up.
Keller-Segel system (2D)
u(x,y,t) with fixed mesh.
u(x,y,t) with adaptive mesh.
u(x,y,t) with adaptive mesh (view from front).
the adaptive mesh.
Nagumo Equation: Travelling Waves
Travelling Waves in Moving Coordinate System
Schrodinger Equation (2D)
|u(r,t)| versus r (physical coordinate).
|u(r,t)| versus \xi (computational coordinate).
|u(r,t)|/max_r(|u(r,t)|) versus \xi (computational
coordinate).
Schrodinger Equation (3D)
|u(r,t)| versus r (physical coordinate).
|u(r,t)| versus \xi (computational coordinate).
|u(r,t)|/max_r(|u(r,t)|) versus \xi (computational
coordinate).